To visit his grandmother, Luis takes a train 6.376.376, point, 37 kilometers and a car 5.455.455, point, 45 kilometers.
How many kilometers is Luis's journey in total?

The regression equation is Y = 95.0 + 0.84X.The regression line is a mathematical model that is used to predict the value of a dependent variable (Y) based on the value of an independent variable (X).

In this case, the regression line is used to predict Y from X using the following data: X = 10, 20, 30, 40, 50, 60 and Y = 111, 109, 110, 94, 92, 93. By using a regression analysis tool such as StatKey, we can calculate the regression equation that best fits this data. The regression equation is Y = 95.0 + 0.84X, where 95.0 is the intercept and 0.84 is the slope. This equation can be used to make predictions about the value of Y for a given value of X. The rounded answer for the intercept is 95.0 and the rounded answer for the slope is 0.84.

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Answer:

51504

Step-by-step explanation:

Multiplied                          Hope this help

Greetings from Brasil...

According to the statement of the question:

Let's apply square root to both members

√X² = √20

X = √20

20 = 2² · 5   so   √20 = √2² · 5   =   2√5

X = √20 or X = 2√5 or X = 4.4721

The mean of the distribution is 3

Arithmetic mean is defined as the ratio of the sum of observations to the total number of observations. It can be referred to as the average of a specific set of data or the arithmetic mean. One of the basic methods used to acquire a result, the term "Mean" is commonly used in the field of statistics.

The formula for the mean of a given set of data is as follows:

Mean = Sum of Observations/Total number of observations

According to the first graph,

Given the bar of observations as :

0, 5, 6, 3, 1, 1, 3, 6, 4, 1

Here the Sum of Observations = 30

And the total number of observations = 10

The mean of the distribution = 30/10

The mean of the distribution = 3

According to the second graph,

Given the bar of observations as :

0, 1, 3, 3, 9, 0, 9, 4, 4, 1

Here the Sum of Observations = 34

And the total number of observations = 10

The mean of the distribution = 34/10

The mean of the distribution = 3.4

The mean of the distribution = 4 (closest)

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Answer:

12 (11/12)

Step-by-step explanation:

To solve this question, we can add 1/6 to both sides to get:

11/? = 3/4 + 1/6

Next, we can find a common denominator for 4 and 6 (which would be 12):

3/4 = 9/12 (×3) and 1/6 = 2/12 (×2)

Now we can do 9/12 + 2/12 which is 11/12 (just add the numerators together).

Hope this helps!

\(\text{ Let the missing number be x,}\\\\~~~~~~~~\dfrac {11}{x} - \dfrac 16 = \dfrac 34\\\\\\\implies \dfrac{66}x -1 = \dfrac{18}4~~~~~~;[\text{Multiply both sides by 6}]\\\\\\\implies \dfrac{66}x =\dfrac{18}4 +1\\\\\\\implies \dfrac{66}{ x } = \dfrac{22}4 \\\\\\\implies x = \dfrac{4\times 66}{22}\\\\\\\implies x = \dfrac{2 \times 66}{11} = 2 \times 6 = 12\\\\\\\text{Hence the missing number is 12.}\)

Answer:

The people dies in 2004 by aids are 413042853.4

Step-by-step explanation:

growth factor = 1.8

People died in 1983 = 1800

Let the people dies in 2004 is P.

Time, t = 2004 - 1983 = 21

So,

\(P = 1800 \times (1.8)^{21}\\\\P = 413042853.4\)

We write the linear function as f(x)=3.5x+1 for the graph.

Linear function means a linear equation. As per given statement, we need to write an equation for straight line. We are given four-point in the XY coordinate.

We use the formula line passes through two points. The required function

should be in the form f(x) =mx+b or y=mx+b

given points are (0,1) (1,4.5) , (-1,-2.5) (-2,-6)

slope of line passes through first two points is=m= (y₂-y₁)/(x₂-x₁)= 3.5

slop of last two points is = m= 3.5

hence, four points lies in the same straight line

the equation of line, y= 3.5x+b

as the line passes through (-2,-6)

                                  -6=3.5×(-2)+b

                                 b=1, b is a constant

         hence, the linear function is f(x)=y=3.5x+1

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1. Jada's data set has a mean of 5, Diego's data set has a mean of 6, and Lin's data set has a mean of 4.

2. The data set that has the greatest variability is Lin's data set because it has the highest standard deviation of 3.6.

In Mathematics and Geometry, the mean for this set of data can be calculated by using the following formula:

Mean = [F(x)]/n

Question 1.

In this scenario and exercise, we would determine the mean of the three data sets based on the number of text messages sent by Jada, and Diego, and Lin over 6 days as follows;

Mean number of text for Jada = (4 + 4 + 4 + 6 + 6 + 6)/6

Mean number of text for Jada = 30/6

Mean number of text for Jada = 5.

Mean number of text for Diego = (4 + 5 + 5 + 6 + 8 + 8)/6

Mean number of text for Diego = 36/6

Mean number of text for Diego = 6.

Mean number of text for Lin = (1 + 1 + 2 + 2 + 9 + 9)/6

Mean number of text for Lin = 24/6

Mean number of text for Lin = 4.

Question 2.

In Statistics, variability is a measure of the spread of a data set. Also, we would use standard deviation to determine the variability in each data set as follows;

Standard deviation = √(1/n × ∑(xi - u₁)²)

Standard deviation for Jada = √(1/6 × [(4 - 5)² + (4 - 5)² + (4 - 5)² + (6 - 5)² + (6 - 5)² + (6 - 5)²]

Standard deviation for Jada = √(6/6) = 1

Standard deviation for Diego = √(1/6 × [(4 - 6)² + (5 - 6)² + (5 - 6)² + (6 - 6)² + (8 - 6)² + (8 - 6)²]

Standard deviation for Diego = √(14/6) = 1.53

Standard deviation for Lin = √(1/6 × [(1 - 4)² + (1 - 4)² + (2 - 4)² + (2 - 4)² + (9 - 4)² + (9 - 4)²]

Standard deviation for Lin = √(76/6) = 3.6

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

(a) f(x) =  \(log_2(x)\) is a logarithmic function

(b) g(x) = ∜x is a root function

(c) h(x) = \(2x^3/(1 - x^2)\) is a rational function

(d) u(t) = 1 - 1.1t + \(2.54t^2\) is a polynomial of degree 2

(e) v(t) = \(5^t\)is an exponential function

(f) w(θ) = sin θ \(cos^{2}\theta\) is a trigonometric function.

(a) f(x) = \(log_2(x)\) is a logarithmic function. Logarithmic functions have the logarithm of the independent variable as the output. Here, the logarithm base is 2.

(b) g(x) = ∜x is a root function. Root functions have the square root or higher roots of the independent variable as the output. Here, the root is a cube root.

(c) h(x) = \(2x^3/(1 - x^2)\) is a rational function. Rational functions are functions that are expressed as the quotient of two polynomials. Here, the numerator is a cubic polynomial and the denominator is a quadratic polynomial.

(d) u(t) = 1 - 1.1t + \(2.54t^2\) is a polynomial of degree 2. Polynomials are functions that are expressed as a sum of powers of the independent variable, with coefficients. The degree of a polynomial is the highest power of the independent variable.

(e) v(t) = \(5^t\) is an exponential function. Exponential functions have the independent variable as the exponent. Here, the base is 5.

(f) w(θ) = sin θ \(cos^{2}\theta\) is an algebraic function and a trigonometric function. Algebraic functions are functions that can be expressed using arithmetic operations and algebraic expressions. Trigonometric functions are functions that involve the ratios of the sides of a right triangle. Here, the function is a combination of sine and cosine functions.

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The complete question is -

Classify each function as a power function, root function, polynomial (state its degree), rational function, algebraic function, trigonometric function, exponential function, or logarithmic function.

(a) f(x) =  \(log_2(x)\)    

(b) g(x) = ∜x    

(c) h(x) = \(2x^3/(1 - x^2)\)    

(d) u(t) = 1 - 1.1t + \(2.54t^2\)                    

(e) v(t) = \(5^t\)    

(f) w(θ) = sin θ \(cos^{2}\theta\)

Answer:,

the answer is (4,2)

Step-by-step explanation:

is you look at the 2 equations and plug in the points where the lines intercets you would get the answer soo examples

4+2=6

the first one checks out

the second one

4+(2*2)=8

so the parinthises go first 2 times 2 = 4 plus 4 = 8

Answer:

A: numerical

B:catergorical

C:catergorical

Step-by-step explanation:

Answer:

John's steps

-distrubute the 2 through the parentheseas

-subtract 18-12

-subtract 10 on both sides

-divide both sides of the equation by 2

-y=-2

Marias steps

-divide both sides by 2

-subtract both sides by -5

-y=-2

Step-by-step explanation:

all you had to do is list the steps out. Hope this helps

Answer:

y=45x+115

Step-by-step explanation:

We can find the slope of a line tangent to a curve at a point by evaluating the derivative of the function at that point.

We are given the function

f ( x ) = 4 x 3 + 12 x 2 + 9 x + 7

= f ( x ) = 4 x 3 + 12 x 2 + 9 x 1 + 7 x 0

Using the power rule, let's now compute the derivative of  f( x )

f ' ( x ) = ( 3 ⋅ 4 x 2 ) + ( 2 ⋅ 12 x ) + ( 1 ⋅ 9 x 0 ) + 0 ⋅ 7 x − 1

f ' ( x ) = 12 x 2 + 24 x + 9

We can now find the slope of  f ( x )  at  x = − 3  by substituting this value into f ' ( x )

f ' ( − 3 ) = 12 ( − 3 ) 2 + 24 ( − 3 ) + 9

f'(-3)=12(9)+24(-3)+9

f'(-3)=108-72+9

f'(-3)=45(slope of the tangent line at  x = − 3

Now that we have a slope for the tangent line, we need to identify a point on the line.

We know the tangent line touches the function  f ( x )  at the point  x = − 3 , so let's find the value of  f ( x )  at this point:

f(-3)=4(-3)3+12(-3)2+9(-3)+7

f(-3)=4(-27)+12(9)+9(-3)+7

f(-3)=108+108-27+7

f'(-3)=-20

So we know the tangent line goes through the point

(-3,-20)

Finally, we can use the point-slope formula for a line to find the equation of the tangent line.

y=mx+b

To find the value of  b , substitute the values we have calculated for the point and slope of the tangent line:

(-20)=(45)(-3)+b

-20=-135+b

b=115

So our final answer for the equation of the tangent line is:

y=45x+115

4 cm² is its height in centimetres (cm) in triangle .

How do triangles work?

The three vertices of a triangle make it a three-sided polygon. The angles of the triangle are formed by the connection of the three sides end to end at a single point.

                        The triangle's three angles add up to a total of 180 degrees. Three sides, three angles, and three vertices make up the closed, two-dimensional shape of a triangle. A triangle is a type of polygon.

The area of this triangle is 12 cm².

The area of this triangle = 1/2 * b * h

                          12 = 1/2 * 6 * h

                          h = 4 cm²

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Step-by-step explanation:

it may help you to understand.

a) The independent variable is x and the dependent variable is y

b) Domain and range of the function is solved

c) The function to find the temperature at 10 hours is f ( 10 )

d) The time for temperature when it is 10°F is f ( x ) = 10

Given data ,

Let the function be represented as f ( x )

Now , the value of f ( x ) is given as

The independent variable is the variable that can be changed or varied by the person performing the experiment or analysis. It is the input to the function

And , the dependent variable is the output of the function = y

Now , domain of a function is the set of values that we are allowed to plug into our function and range is the set of outputs of a relation or function

where function to find the temperature at 10 hours is f ( 10 )

And , time for temperature when it is 10°F is f ( x ) = 10

Hence , the function is solved

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We can see here that the Pythagorean theorem can help one determine whether the roped off area is in the shape of a right triangle because the converse of Pythagorean Theorem is actually used to prove that a triangle is a right triangle.

Let's understand the definition and meaning of  Pythagorean Theorem.  Pythagorean Theorem is actually seen as the fundamental concept that is used to describe the relationship that exists  between all the sides of a right-angled triangle.

The theorem actually states that the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.

Mathematically, it can be expressed as a² + b² = c², where "a" and "b" are the lengths of the two shorter sides, and "c" is the length of the hypotenuse.

When we don't know that a triangle is a right-angle triangle, we use the converse to prove it.

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Answer:

(x) ∠CAB

Step-by-step explanation:

In ΔCOD and ΔBOA

\(\frac{OA}{OB} = \frac{OD}{OC} \\\\\implies \frac{OC}{OB} = \frac{OD}{OA}\)

Also,

∠COD = ∠BOA (vertically opposite angles)

⇒ ΔCOD and ΔBOA are similar

⇒ ∠CDO = ∠BAO

⇒ ∠CDB = ∠BAC

⇒ ∠CDB = ∠CAB

Answer:

I wrote the answers below

Step-by-step explanation:

x+3<70------>0,60

-5x<2--------->3,5

5x<2---------->-3,-1

-3x>18-------->-10,-20

The joint costs allocated to Product B is $240,000.

We must allocate joint costs based on the relative physical quantities produced by each product.

The total physical quantity produced by both products is:

= Quantity of A + Quantity of B

= 10,000 + 40,000

= 50,000 pounds

We will calculate the proportion of physical quantity produced by product A:

= Quantity of B / Total physical quantity

= 40,000 / 50,000

= 0.8

The amount of joint costs allocated to Product B is will be

= Total joint costs x Proportion of

= $300,000 x 0.8

= $240,000.

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The expression of logarithmic function, f(x) = ln (1/gᵏ) after all possible expansion is equals to the f(x) = - k × ln( g).

In mathematics, the logarithmic function is defined as inverse function to exponent function and defined as f(x) = logₐx where a is base of function. Properties of Logarithmic Functions :

We have, a natural logarithmic function, i.e., base = 10, f(x) = ln (1/gᵏ) and we have to expand it. To expand logarithms means write them as a sum or difference product of logarithms. The order to apply rules is quotient rule, product rule and then power rule. So, f(x) = ln (1/gᵏ)

applying quotient rule,

=> f(x) = ln(1) - ln( gᵏ)

Appling power rule,

=> f(x) = ln(1) - k ln( g)

Applying Zero Exponent Rule,

=> f(x) = 0 - k × ln( g)

Hence, the required expansion is f(x) = - k × ln( g).

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Answer:

Step-by-step explanation:

find slope of line formula is in picture m=(1+3)/(-5-2) = 4/-7

now by general eq in point slope form

y-y₁ = m(x-x₁)

y+3 = -4/7(x-2)

7y+21 = -4x+8

4x+7y+13=0

the points also satisfy this equation.

The common attribute of right pyramid and a right triangular prism is 8 or more edges.

A right pyramid is one with an apex that is positioned directly above the base's middle. The height of a right pyramid is thus determined by a perpendicular line connecting the base center and apex.

The pentahedron Triangular Prism contains nine different nets. The bases' vertices and edges are connected by means of their three rectangular sides. The rectangular sides of the triangular prism are joined to one another side by side. Every cross-section that is perpendicular to the base faces is a triangle. In contrast to the triangular prism, a triangular pyramid has four triangular bases that are connected together and all coincide with one another.

Hence, the common attribute of right pyramid and a right triangular prism is 8 or more edges.

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Answer:

curved surface therfore 2

Step-by-step explanation:

Answer:

3 points

Step-by-step explanation:

If you do the vertical line test, there are 3 points that need to be removed, as there can only be 1 x value for every y value in order for it to be a function.

Answer:

3 points

Step-by-step explanation:

if you do the vertical line check you can see that there are 3 lines with 2 points on one line vertically. for it to be a function it would need to only have one so you would need to remove one from each line.

sorry I did not understand in which of the two forms it is written

Using the radius of the Ferris wheel and the angle between the two positions, the time spent on the ride when they're 28 meters above the ground is 12 minutes

The radius of the Ferris wheel is 30 / 2 = 15 meters.

The highest point on the Ferris wheel is 15 + 4 = 19 meters above the ground.

The time spent higher than 28 meters is the time spent between the 12 o'clock and 8 o'clock positions.

The angle between these two positions is 180 degrees.

The time spent at each position is 10 minutes / 360 degrees * 180 degrees = 6 minutes.

Therefore, the total time spent higher than 28 meters is 6 minutes * 2 = 12 minutes.

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The given two circles are similar.

A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “centre”.

Given two circles with center at A(3,4) and C(0,-1).

Radius of circle with center A, \(r_{A} = 9-4 =5 units.\)

Radius of circle with center C, \(r_{C}=1-(-1)=2units\)

The perimeter of circle is given by 2πr units.

Perimeter of the circle A =2*π*5=10π

Perimeter of the circle C=2*π*2=4π

To measure the central angles of the circles by,

\(measure of central angle =\frac{perimeter of circle }{radius}\)

For circle A = \(\frac{10\pi}{5}\)=2π

For circle C, =\(\frac{4\pi}{2}\)=2π

Therefore the measure of central angles for both the circles are 360°.

Therefore, they are similar.

Hence, the given two circles are similar.

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